The mass of a particle is g and its diameter is cm. If its speed is cm/s with 0.0001% uncertainty in — Atomic Structure Chemistry Question

💡 Solution & Explanation

Mass $m = 10^{-13}$ kg. Speed $v = 10^{-8}$ m/s. Uncertainty $\Delta v = 0.0001\% \times 10^{-8} = 10^{-6} \times 10^{-8} = 10^{-14}$ m/s. $\Delta x = \frac{h}{4\pi m \Delta v} = \frac{6.626 \times 10^{-34}}{4\pi \times 10^{-13} \times 10^{-14}} = \frac{6.626}{4\pi} \times 10^{-7} \approx 0.527 \times 10^{-7} \approx 5.28 \times 10^{-8}$ m. Therefore, correct answer is A.